Extra Exam Exercises (+ solutions) MIDTERM Mathematics for Premaster
33 views 1 purchase
Course
Mathematics
Institution
Tilburg University (UVT)
This document contains 30 extra exam exercises of Mathematics for Premaster that you can use to prepare for your exam. You haven't seen them before, so practicing these would be very helpful.
Exam exercises Mathematics for Premaster MIDTERM
This is a preview of the extra exam exercises that you can use to prepare for your
midterm. I have successfully passed the premaster in 2019 myself, and since I received a
9 on mathematics, I tutored a bunch of students in 2020. For a crash course, I created
these 30 exercises with extensive elaboration of the answers myself. This might be very
helpful, because you haven’t practiced with these before.
Please note that copyright belongs to the creator of this document.
It is forbidden to freely distribute this file.
If you have bought this document, you can skip the first 6 pages (until ‘END OF
PREVIEW’) as these first pages are adapted with black lines to serve the preview.
Part I
1. Determine the zeros of the following polynomial function: 2𝑥 4 − 7𝑥 2 + 3.
2. Consider the functions 𝑦1 = 5𝑥+3 and 𝑦2 = 3100 + 5𝑥 . Determine the points of
intersection of the graphs of these functions.
3. Solve the following equation: ln(𝑥 + 4) + ln(𝑥 + 8) = 0.
1 2
28. Determine the intervals on which the function 𝑦(𝑥) = 𝑥𝑒 −2𝑥 is
convex/concave.
29. Determine all 𝑝 for which the function 𝑧(𝑥, 𝑦) = 𝑝𝑥 2 + 2𝑥𝑦 + 𝑦 2 is convex.
1 1
30. Determine all extrema of the function 𝑦(𝑥) = 𝑥 + 4 𝑥 (𝑥 ≥ 1).
,
,
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller SandersStudiesucces. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.50. You're not tied to anything after your purchase.
